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A New Approach to the Theory of Soft Sets

by Tridiv Jyoti Neog, Dusmanta Kumar Sut
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 32 - Number 2
Year of Publication: 2011
Authors: Tridiv Jyoti Neog, Dusmanta Kumar Sut
10.5120/3874-5415

Tridiv Jyoti Neog, Dusmanta Kumar Sut . A New Approach to the Theory of Soft Sets. International Journal of Computer Applications. 32, 2 ( October 2011), 1-6. DOI=10.5120/3874-5415

@article{ 10.5120/3874-5415,
author = { Tridiv Jyoti Neog, Dusmanta Kumar Sut },
title = { A New Approach to the Theory of Soft Sets },
journal = { International Journal of Computer Applications },
issue_date = { October 2011 },
volume = { 32 },
number = { 2 },
month = { October },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume32/number2/3874-5415/ },
doi = { 10.5120/3874-5415 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:18:04.874097+05:30
%A Tridiv Jyoti Neog
%A Dusmanta Kumar Sut
%T A New Approach to the Theory of Soft Sets
%J International Journal of Computer Applications
%@ 0975-8887
%V 32
%N 2
%P 1-6
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Molodtsov initiated the concept of soft set as a new mathematical tool for dealing with uncertainties. In 2003, Maji put forward several notions on Soft Set Theory. However, the axioms of exclusion and contradiction are not valid under the definition of complement of a soft set initiated by Maji. In this paper, we reintroduce the concept of complement of a soft set and show that the laws of exclusion and contradiction, Involution, De Morgan Inclusions and De Morgan laws are valid for soft sets with respect to our new definition of complement. We justify our claim with proof and examples.

References
  1. Ahmad, B. and Kharal, A., “Mappings on Soft Classes”, (Originally submitted on 17 Oct, 2008 to Information Sciences with the title of “ Mappings on Soft Sets” and was given MS#INS-D-08-1231 by EES.
  2. Ali, M.Irfan, Feng F, Liu, X., Min,W.K. Shabir, M. “On some new operations in soft set theory”, Computers and Mathematics with Applications 57 (2009) 1547 – 1553.
  3. Baruah, H. K., “Towards Forming A Field Of Fuzzy Sets”, International Journal of Energy, Information and Communications, Vol. 2, Issue 1, pp. 16-20, February 2011.
  4. Baruah, H. K., “The Theory of Fuzzy Sets: Beliefs and Realities”, International Journal of Energy, Information and Communications, Vol. 2, Issue 2, pp. 1-22, May 2011.
  5. Chen, D., Tsang, E.C.C., Yeung, D.S. and Wang, X. , “ The Parameterization reduction of soft sets and its applications”, Computers and Mathematics with Applications 49 (2005) 757 – 763.
  6. Maji, P. K. and Roy, A. R., “Soft Set Theory”, Computers and Mathematics with Applications 45, pp. 555–562, 2003
  7. Molodstov, D.A., “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, pp. 19-31, 1999
  8. Pei, D. and Miao, D. “ From Soft Sets to Information Systems”, in Proceedings of the IEEE International Conference on Granular Computing , vol. 2, pp. 617-621,2005
  9. Zadeh, L. A., “Fuzzy Sets”, Information and Control, 8, pp. 338-353, 1965.
Index Terms

Computer Science
Information Sciences

Keywords

Soft set Union Intersection Complement Complement

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